Cleaver is a surname which may refer to:

People

• Anna Cleaver, triathlete from New Zealand
• Billy Cleaver (1921–2003), Welsh rugby union player
• Eldridge Cleaver (1935–1998), American writer and political activist
• Emanuel Cleaver (born 1944), U.S. Representative for Missouri and United Methodist pastor
• Euseby Cleaver (1746–1819), Anglican Archbishop of Dublin
• Fred Cleaver (1885–1968), English footballer
• Gerald Cleaver (musician) (born 1963), African-American jazz drummer
• Gordon Cleaver (1910–1994), British Second World War fighter ace and skier
• Harry Cleaver (born 1944), American Marxian economics retired professor
• Harry Cleaver (footballer) (1880–?), English footballer
• Hiram Cleaver (1801–1877), American politician from Pennsylvania
• Hughes Cleaver (1892–1980), Canadian politician
• Kathleen Cleaver (born 1945), American law professor
• Naomi Cleaver (born 1967), British design consultant and interior designer
• Richard Cleaver (1917–2006), Australian politician
• Skip Cleaver (1944-2922), American politician
• Solomon Cleaver (1855–1939), Canadian minister and storyteller
• Sue Cleaver (born 1965), English actress
• Val Cleaver (1917–1977), British rocket engineer
• William Cleaver (1742–1815), English bishop and academic

Fictional characters

• The Cleavers, a family from the American television sitcom Leave It to Beaver:
  • June Cleaver, Theodore's mother
  • Theodore Cleaver, the title character, a boy nicknamed "Beaver"
  • Wally Cleaver, Theodore's older brother
  • Ward Cleaver, Theodore's father